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RafterNet: Probabilistic Predictions in Multi-Response Regression

Author

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  • Marius Hofert
  • Avinash Prasad
  • Mu Zhu

Abstract

A fully nonparametric approach for making probabilistic predictions in multi-response regression problems is introduced. Random forests are used as marginal models for each response variable and, as novel contribution of the present work, the dependence between the multiple response variables is modeled by a generative neural network. This combined modeling approach of random forests, corresponding empirical marginal residual distributions and a generative neural network is referred to as RafterNet. Multiple datasets serve as examples to demonstrate the flexibility of the approach and its impact for making probabilistic forecasts.

Suggested Citation

  • Marius Hofert & Avinash Prasad & Mu Zhu, 2023. "RafterNet: Probabilistic Predictions in Multi-Response Regression," The American Statistician, Taylor & Francis Journals, vol. 77(4), pages 406-416, October.
  • Handle: RePEc:taf:amstat:v:77:y:2023:i:4:p:406-416
    DOI: 10.1080/00031305.2022.2141857
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